fall2010Quiz3Solutions

# fall2010Quiz3Solutions - ChBE 2120 Fall 2010 Quiz 3 NAME On...

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Unformatted text preview: ChBE 2120, Fall 2010, Quiz 3 NAME : On this sheet, give only the ﬁnal answers for each question in the box provided —+ no partial credit. Write the one-dimensional Newton-Raphson root-ﬁnding equation using some combination of the following symbols, one per box below: 1+: ‘: Xi+2, Xi‘l’la xi: 311- I: Xi-21X, f(Xi+2)a f(xi+l)1f(xi)1f(Xi—l)a f(Xi.2), ﬁx): f’(xi+2)1 §(Xi+1) f(xi): “Xi-1) fog- 2): ﬁx) f(Xi+2)1f”(Xi+1)1f’ (Xi)1f (X101 fa (X12) f” (X)(Ji+21J1+11J11-l111J121 ~ w l“ Ill )TK- 2. In solving a multi-dimensional Newton-Raphson step, you can use a choice that involves Gaussian Elimination or that involves a matrix inverse. Which is faster to compute9 A) The one 1nvolv1ng Gaussmn E11m1nation ' swer 7L / B) The one involving the inverse C) Equal difﬁculty ...
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